Evaluate the integral:
Key points to solve the problem:
• Such problems require the use of the method of substitution along with a method of integration by parts. By the method of integration by parts if we have
• To solve the integrals of the form: after applying substitution and integration by parts we have direct formulae as described below:
Let, I =
∴ I =
Using a2 – 2ab + b2 = (a - b)2
We have:
I =
As I match with the form:
∴ I =
⇒ I =